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harina [27]
2 years ago
8

How to solve for x using the equation: 12 = -4 (- 6x - 3)

Mathematics
1 answer:
Zarrin [17]2 years ago
7 0
I don’t know how to explain it so I am just giving the equation

12=-4(-6x-3x)
Divide both sides by 4
12/4=-4(-6x-3x)/4
3=-4(-6x-3x)/4
3=-(-6x-3x)
3=9x
9x/9 = 3/9
Divide both sides by 9
x=1/3
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If a b and c are three different numbers which of the following equations has exactly one solution?
Mrrafil [7]

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. ax+b=ax+b

Solving and finding value of x:

ax+b=ax+b\\ax-ax=b-b\\0=0

This equation has infinite number of solutions because both sides are equal to 0

B. ax=bx+c

Solving and finding value of x:

ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}

This equation has exactly one solution

C. ax+b=ax+c

ax+b=ax+c\\ax-ax=c-b\\0=c-b

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/2386054
  • brainly.com/question/2115716
  • brainly.com/question/11306893

#learnwithBrainly

4 0
3 years ago
Graph 7x+6y<42 7x+6y>-42
suter [353]
7x + 6y < 42
6y < -7x + 42
y < -7/6x + 7

slope = -7/6....y int = (0,7)...x int = (6,0)...it will be a dashed line...shading will be below the line....so start at (0,7)...and since the slope is -7/6...go down 7 spaces and to the right 6 spaces, and keep doing this and u will cross the x axis at (6,0)

7x + 6y > - 42
6y > -7x - 42
y > -7/6x - 7

slope = -7/6...y int = (0,-7)....x int = (-6,0)....line will be dashed....shading will be above the line...so start at (0,-7) and since the slope is -7/6...go down 7 spaces and to the right 6 spaces...keep doing this and u will cross the x axis at (-6,0)
5 0
4 years ago
If g(x) = x2 + 2, find g(3). (2 points) a 9 b 8 c 11 d 6
kap26 [50]

Answer:

c) 11

Step-by-step explanation:

g(x)= x² + 2

x = 3

substitute x for 3

g(3) = (3)² + 2

g(3) = 9 + 2

g(3) = 11

4 0
3 years ago
Donald finds at his school that basketball players are also field hockey players so he thinks the heights of the players will be
Assoli18 [71]

Answer:c your welcome

Step-by-step explanation:

7 0
3 years ago
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Hi. I need help with these questions (see image)<br>Please show workings.<br>​
pantera1 [17]

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

\frac{dy}{dx} = f'(g(x))  × g'(x) ← chain rule

and the standard derivatives

\frac{d}{dx} (log_{a} x ) = \frac{1}{xlna} , \frac{d}{dx}(lnx) = \frac{1}{x}

(a)

Given

y = log_{a}\sqrt{(1+x)}

\frac{dy}{dx} = \frac{1}{lna\sqrt{(1+x)} } × \frac{d}{dx} ((1+x)^{\frac{1}{2} }

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   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2\sqrt{(1+x)} } × 1

   = \frac{1}{2lna(1+x)}

   = \frac{1}{(1+x)lna^2}

(b)

Given

y = ln sinx

\frac{dy}{dx} = \frac{1}{sinx} × \frac{d}{dx}(sinx)

   = \frac{1}{sinx} × cosx

   = \frac{cosx}{sinx}

   = cotx

5 0
3 years ago
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